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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 24 (1992), S. 305-327 
    ISSN: 1573-8868
    Keywords: hydrocarbon trapping ; non-linear waves ; quasi-linear P.D.E.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract This paper presents a new analysis of secondary migration of hydrocarbon that does not require capillary forces for trapping, but instead uses the method of characteristics and wave theory. The waves change speed and either reflect or refract (or partially reflect and partially refract) as they contact with layers of different flow capacities. Reflection of a certain wave from a boundary starts hydrocarbon accumulation below that boundary. The method is easy to use and conforms readily to graphical solution. For the sake of simplicity there is only two-phase flow. The application of this method gives new insights into the physics of migration and entrapment of oil. The method gives realistic times for oil accumulation and points to oil generation rate as the most sensitive variable. Oil and water densities, viscosities, and permeability are also important. We find that at the very small generation rates usually assumed the time required to develop a given column thickness is insensitive to the distance from the source rock. In general, the method also predicts a non-uniform saturation in the oil column caused by an interaction between buoyancy and viscous forces. Being based on the dynamic interactions of viscous and buoyancy forces, our theory is considerably at odds with hydrostatic approaches. We assume no capillary pressure, one-dimensional flow, and no regional groundwater flow, conditions which are not realized in actual migration. The theory should be viewed therefore as an end member of a more general theory; nevertheless, the largely graphical solutions give fundamental insights that are difficult to obtain by other techniques.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 30 (1998), S. 637-660 
    ISSN: 1573-8868
    Keywords: secondary migration ; three-phase flow ; hydrocarbon trapping ; nonlinear waves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The objective of this work is to study the migration of hydrocarbons from a source rock into possible reservoirs. In particular, we consider simultaneous migration of gas and oil through a water-filled carrier bed and how this flow might result in characteristics that could be interpreted by nontraditional exploration methods. In the modeling, one-dimensional, immiscible, isothermal flow is assumed, and capillary effects are excluded. The seal is modeled as a layer of very low permeability. Our analysis is based on the method of characteristics and simple wave theory. Waves are changes in saturation(s) that move through a reservoir or carrier bed at a characteristic velocity. The analysis does not require capillary forces to trap hydrocarbons, but relies on nonlinear wave phenomena to explain migration and entrapment. No doubt, capillary forces are important in secondary migration and entrapment. Our treatment can be viewed as being part of a more complete theory on secondary migration, considering hydrodynamic effects here. We demonstrate that capillary forces are not the only mechanism that can cause trapping of hydrocarbons. We focus on the role of gas in the trapping of oil. If the seal is slightly permeable, some oil will flow through it. With gas present, the efficiency of the seal can increase, and oil can be completely trapped by a structure that would otherwise be permeable. For example, gas, being much more mobile than oil, can form a bank at the interface between two layers that have a modest permeability contrast. This gas bank will have a relatively large gas saturation. This will decrease the relative permeability to oil and completely trap subsequently migrated oil. Oil can also be trapped even when no gas bank is formed at the permeable seal. Features of this problem that might affect a seismic signal are (1) the existence of gas above (caused by a stow leakage of gas) and below a modest seal, (2) the gas leakage itself, (3) modest saturations in the oil column, and (4) overpressuring in the gas column.
    Type of Medium: Electronic Resource
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